Secular series and renormalization group for amplitude equations
Kirkinis, E. (2008) Secular series and renormalization group for amplitude equations. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 78(3).
We have developed a technique that circumvents the process of elimination of secular terms and reproduces the uniformly valid approximations, amplitude equations, and first integrals. The technique is based on a rearrangement of secular terms and their grouping into the secular series that multiplies the constants of the asymptotic expansion. We illustrate the technique by deriving amplitude equations for standard nonlinear oscillator and boundary-layer problems. © 2008 The American Physical Society.
Impact and interest:
Citation counts are sourced monthly from and citation databases.
These databases contain citations from different subsets of available publications and different time periods and thus the citation count from each is usually different. Some works are not in either database and no count is displayed. Scopus includes citations from articles published in 1996 onwards, and Web of Science® generally from 1980 onwards.
Citations counts from theindexing service can be viewed at the linked Google Scholar™ search.
|Item Type:||Journal Article|
|Keywords:||Amplitude modulation, Asymptotic analysis, Difference equations, Numerical analysis, Statistical mechanics, Amplitude equations, Asymptotic expansions, First integrals, Non-linear oscillators, Renormalization group, Nonlinear equations|
|Divisions:||Current > Schools > School of Mathematical Sciences
Current > QUT Faculties and Divisions > Science & Engineering Faculty
|Deposited On:||07 Jul 2014 22:42|
|Last Modified:||09 Jul 2014 06:29|
Repository Staff Only: item control page